非完整力学系统的Lie对称性直接导致的一种守恒量  

A Kind of Conserved Quantity Induced by Lie Symmetry of Nonholonomic Mechanical System

作　　者：沈跃 张令坦 

机构地区：[1]中国石油大学理学院,山东青岛266580

出　　处：《兵工学报》2012年第11期1342-1345,共4页Acta Armamentarii

摘　　要：非完整约束力学系统对称性与守恒量的研究不仅具有重要的理论意义,而且具有重要的实际价值。利用无限小群变换分析方法研究了非完整力学系统的Lie对称性直接导致的一种守恒量,给出了系统Lie对称性的判据,得到了系统Lie对称性直接导致的一种守恒量存在的条件和形式,举例说明了结果的应用。It represents important not only theoretical but also practical significance to study the symmetry and conserved quantity of nonholonomic mechanical system. A kind of conserved quantity directly in- duced by Lie symmetry is studied by using infinitesimal group transformation analysis. Firstly, the criteri- on of Lie symmetry for nonholonomic mechanical system is given. Secondly, the existential condition of the conserved quantity and its forms are obtained. Finally, an example is given to illustrate the applica- tion of the results.

关 键 词：一般力学 非完整力学系统 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]